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Veronika [31]
4 years ago
8

in a study 44 of adults questioned reported that their health was excellent. a researcher wishes to study the health of people l

iving close to a nuclear power plant. among 14 adults randomly selected from this area
Mathematics
1 answer:
dlinn [17]4 years ago
6 0
Where's the question? We have some data...but no question
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An 8-inch dinner knife is sitting on a circular plate so that its ends are on the edge of the plate. If the minor arc that is in
ankoles [38]

The diameter of the plate is 9.24 inches

Step-by-step explanation:

Let us consider the radius to be 'r'

Angle = 120°

Chord length = 8 inches

Chord length = 2rsin(θ/2)

8 = 2r sin(120/2)

8 = 2r sin60°

8/2 = r (√3/2)

4/(√3/2) = r

r = 8/√3

r = 8/1.73

r = 4.62 inches

Diameter of the plate = 2(4.62)

= 9.24 inches

The diameter of the plate is 9.24 inches

7 0
3 years ago
HELP PLEASEEEE it’s due in 10 minutes
lana [24]

Answer:

24.187

Step-by-step explanation:

7 0
3 years ago
Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) + 8?
vovangra [49]

Answer: x≤ -0.5

Step-by-step explanation:  Graph the two lines or solve for x:

2x – 6 ≥ 6(x – 2) + 8

2x – 6 ≥ 6x – 12 + 8

2x – 6 ≥ 6x – 4

-4x  ≥  2

  x  ≤  -1/2  [Inequality is reversed when multiplying or dividing by a negative number]

The number line is anything less than or equal to - 1/2

Or one can plot each side of the inequality and note the interception point (x = -(1/2)).

4 0
3 years ago
PLZ HELP WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST What is the slope-intercept form of the equation of the line that passes
grigory [225]

Answer:

A.

Step-by-step explanation:

We are given the two points (2,7) and (4,-1).  In order to determine the linear equation, we need to find the slope and the y-intercept. First, find the slope <em>m.</em> Let (2,7) be x1 and y1, and let (4,-1) be x2 and y2:

m=\frac{y_2-y_1}{x_2-x_1} =\frac{-1-7}{4-2}=-8/2=-4

Thus, the slope is -4.

Now, to find the y-intercept, we can use the point-slope form. Recall that the point slope form is:

y-y_1=m(x-x_1)

Where (x1, y1) is a coordinate pair and m is the slope.

Use either of the two coordinate pair. I'm going to use (2,7). Substitute them for x1 and y1, respectively:

y-(7)=-4(x-(2))\\y-7=-4x+8\\y=-4x+15

This is also slope-intercept form. The answer is A.

7 0
3 years ago
Read 2 more answers
Which expression is equivalent to 9q2-(3q - 7) +5q??<br> ) ?<br> 3
lesantik [10]

9q^2-(3q - 7) +5q= \\\\=9q^2-3q + 7 +5q= \\\\=9q^2+2q + 7

3 0
3 years ago
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